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Advanced Math Percentages

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Advanced Math Percentages

  1. 1. Bell Ringer <ul><li>Change the following fractions into decimals (round if you need to): </li></ul><ul><li>6/8 </li></ul><ul><li>7/9 </li></ul><ul><li>9/10 </li></ul><ul><li>8/3 </li></ul>
  2. 2. So what are we going to do today? <ul><li>Learn how to change between fractions, decimals, and percents. </li></ul><ul><li>Learn how to handle ‘percent of’ problems </li></ul>
  3. 3. First of all, we need to know what EQUALS means: <ul><li>To say that two things are equal is to say that we can substitute one for the other. </li></ul><ul><li>For example, we can say that 2 + 2 = 4. Both 4 and 2+2 mean the exact same thing. </li></ul><ul><li>Remote control example… </li></ul>
  4. 4. We can express a number in different ways. <ul><li>Fractions </li></ul><ul><li>Decimals </li></ul><ul><li>Percents </li></ul>
  5. 5. A Condensed Way to Understand Percent Conversion <ul><li>Percent to Decimal: </li></ul><ul><li>percentage > divide > decimal </li></ul><ul><li>37 % = 37 / 100 = .37 </li></ul><ul><li>Decimal to Percent: </li></ul><ul><li>decimal > multiply > percent </li></ul><ul><li>.37 = .37 x 100 = 37% </li></ul>
  6. 6. The ‘percentage of’ problem What is 12% 0f 34? What is 13% of 56? What is 78% of 57?
  7. 7. To answer these questions First: Change the percentage into a decimal Second: Change the word ‘of’ into a X sign Third: Workout Example: What is 23% of 45 23% = 0.23 and ‘of’ X 0.23 X 45 = 10.35
  8. 8. What do these words mean? <ul><li>Anytime you see ‘OUT OF,’ divide. </li></ul><ul><li>Anytime you see ‘OF,’ multiply. </li></ul><ul><li>Anytime you see ‘IS,’ put an equal sign. </li></ul><ul><li>Anytime you see ‘WHAT,’ put a variable. </li></ul>
  9. 9. Let’s try one: <ul><li>120 is what percent of 90? </li></ul><ul><li>All we are going to do is interpret the sentence. </li></ul><ul><li>120 = x * 90 </li></ul><ul><ul><li>Note: x will need to be a percent (so when we get our decimal, we need to multiply by 100 to get our answer). </li></ul></ul><ul><li>Now, we just solve for x! </li></ul><ul><li>120/90 = x </li></ul><ul><li>1.333333 = x </li></ul><ul><li>But we want ‘x’ as a percent so we need to multiply our decimal by 100. </li></ul><ul><li>So x = 133.33% </li></ul>
  10. 10. <ul><li>25% of 32 </li></ul><ul><li>2. 75% of 36 </li></ul><ul><li>3. What percent of 74 is 222? </li></ul><ul><li>150 is what percent of 80? </li></ul><ul><li>What number is 44% of 6? </li></ul>Try these
  11. 11. HOMEWORK <ul><li>Page 407 </li></ul><ul><li>#5, 7, 8, 12, 18 </li></ul>

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